Let I be the identity matrix of order 3 × 3 and for the matrix A = [λ, 2, 3; 4, 5, 6; 7, -1, 2],| A |=-1. Let B be the inverse of the matrix adj (A…

Let I be the identity matrix of order $\displaystyle 3 \times 3$ and for the matrix $\displaystyle \mathrm{A}=\left[\begin{array}{ccc}\lambda & 2 & 3 \\ 4 & 5 & 6 \\ 7 & -1 & 2\end{array}\right],|\mathrm{A}|=-1$. Let $\displaystyle B$ be the inverse of the matrix $\displaystyle \operatorname{adj}\left(A \operatorname{adj}\left(A^2\right)\right)$. Then $\displaystyle |(\lambda \mathrm{B}+\mathrm{I})|$ is equal to $\displaystyle \_\_\_\_$